Extensions 1→N→G→Q→1 with N=GL₂(F₃) and Q=C₆

Direct product G=NxQ with N=GL₂(F₃) and Q=C₆

		d	ρ	Label	ID
C₆xGL₂(F₃)		48		C6xGL(2,3)	288,900

Semidirect products G=N:Q with N=GL₂(F₃) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
GL₂(F₃):₁C₆ = C₃xQ₈.D₆	φ: C₆/C₃ → C₂ ⊆ Out GL₂(F₃)	48	4	GL(2,3):1C6	288,901
GL₂(F₃):₂C₆ = C₃xC₄.₃S₄	φ: C₆/C₃ → C₂ ⊆ Out GL₂(F₃)	48	4	GL(2,3):2C6	288,904
GL₂(F₃):₃C₆ = C₃xC₄.₆S₄	φ: trivial image	48	2	GL(2,3):3C6	288,903

׿

x

:

Z

F

o

wr

Q

<